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Finding the Fourth Proportional to 156,697.40, 235,046.10 and 133,077.80

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Solution

The fourth proportional to 156,697.40, 235,046.10 and 133,077.80 is: 199,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,697.40 : 235,046.10 = 133,077.80 : x
  2. Step 2: Convert to fraction form
    156,697.40/235,046.10 = 133,077.80/x
  3. Step 3: Cross multiply
    156,697.40x = 235,046.10 × 133,077.80
  4. Step 4: Simplify right side
    156,697.40x = 31,279,417,886.58
  5. Step 5: Solve for x
    x = 31,279,417,886.58/156,697.40
  6. Step 6: Final answer
    x = 199,616.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.